Variational principles and the shift in the front speed due to a cutoff

Vicenç Méndez, Daniel Campos, Evgeny P. Zemskov

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10 Citations (Scopus)

Abstract

We apply variational principles to reaction-diffusion equations in order to predict, for a general reaction term, the sign of the shift in the front speed due to a cutoff. We develop an improved variational principle to obtain the shift in the front speed for a wide range of reaction terms, and the theoretical results so obtained are in excellent agreement with numerical solutions. This work proves that variational principles are an optimal framework to deal with fronts propagating into unstable and metastable states under cutoff. © 2005 The American Physical Society.
Original languageEnglish
Article number056113
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
DOIs
Publication statusPublished - 1 Nov 2005

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